Elliptic Partial Differential Equations with Almost-Real Coefficients
Author:   Ariel Barton
Publisher:   American Mathematical Society
Volume:   223, 1051
ISBN:  

9780821887400


Pages:   106
Publication Date:   30 July 2013
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Elliptic Partial Differential Equations with Almost-Real Coefficients


Overview

In this monograph the author investigates divergence-form elliptic partial differential equations in two-dimensional Lipschitz domains whose coefficient matrices have small (but possibly nonzero) imaginary parts and depend only on one of the two coordinates. He shows that for such operators, the Dirichlet problem with boundary data in Lq can be solved for q<∞ large enough. He also shows that the Neumann and regularity problems with boundary data in Lp can be solved for p>1 small enough, and provide an endpoint result at p=1.

Full Product Details

Author:   Ariel Barton
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   223, 1051
Weight:   0.200kg
ISBN:  

9780821887400


ISBN 10:   0821887408
Pages:   106
Publication Date:   30 July 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Table of Contents Introduction Definitions and the main theorem Useful theorems The Fundamental solution Properties of layer potentials Boundedness of layer potentials Invertibility of layer potentials and other properties Uniqueness of solutions Boundary data in $H^1(\partial V)$ Concluding remarks Bibliography

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Author Information

Ariel Barton, University of Minnesota, Minneapolis, MN, USA.

Tab Content 6

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Latest Reading Guide

NOV RG 20252

 

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